Three people go for a morning walk together. Their steps measure 56 cm, 98 cm and 105 cm respectively. What is the minimum distance traveled when their steps will exactly match after starting the walk assuming that their walking speed is same?
If ^@ \alpha ^@ and ^@ \beta ^@ are the zeros of polynomial ^@ x^2-x-2,^@ find a polynomial whose zeros are ^@ \dfrac{ \alpha^2 }{ \beta^2 } ^@ and ^@ \dfrac{ \beta^2 }{ \alpha^2 }. ^@
A sailer can row ^@30{\space} km ^@ downstream in ^@2{\space} hours^@ and ^@14{\space} km^@ upstream in ^@4 {\space}hours^@. Find the speed of the sailer in still water.
In a trapezium ^@ ABCD^@ , ^@O ^@ is the point of intersection of ^@AC^@ and ^@BD^@. ^@AB || CD^@ and ^@AB = 2 \times CD^@. If the area of ^@\Delta AOB = 72 \space cm^2^@, find the area of ^@\Delta COD^@.
The perimeters of the ends of the frustum of a cone are ^@8.36 \space cm^@ and ^@11 \space cm^@. If the height of the frustum is ^@29 \space cm^@, find its curved surface area. (Take ^@\pi = \dfrac { 22 } { 7 }^@).
Aksana and Maksim sit on the 6-member board of directors for company P. If the board is to be split up into two 3-person subcommittees, what is the percentage that Maksim and Aksana are included in the same sub-committee?
In this diagram, the triangle represents men, the square represents inspectors and the circle represents sports persons. Find the number of inspectors who are sports persons but not men.
Russia
